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Finding the Third Proportional to 123,151.59 and 266,543.53

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Solution

The third proportional to 123,151.59 and 266,543.53 is: 576,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,151.59 : 266,543.53 = 266,543.53 : x
  2. Step 2: Convert to fraction form
    123,151.59/266,543.53 = 266,543.53/x
  3. Step 3: Cross multiply
    123,151.59x = 266,543.53 × 266,543.53
  4. Step 4: Simplify right side
    123,151.59x = 71,045,454,051.22
  5. Step 5: Solve for x
    x = 71,045,454,051.22/123,151.59
  6. Step 6: Final answer
    x = 576,894.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.